Discretization of an Improper System with a Descriptor System and its Application to Control System Design

2021 Fiscal Year Final Research Report

• Project/Area Number: 20K14759
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 21040:Control and system engineering-related
• Research Institution: University of Tsukuba
• Principal Investigator: Kawai Shin 筑波大学, システム情報系, 助教 (40803549)
• Project Period (FY): 2020-04-01 – 2022-03-31
• Keywords: 非プロパーシステム / 逆システム / 離散時間化 / 次数変化 / デスクリプタシステム

Outline of Final Research Achievements

Toward establishing a foundation for the appropriate implementation of improper inverse systems in digital control systems, a definition for appropriately handling the discrete-time of improper systems was proposed, and its properties were clarified. Control systems' stability and mode changes were analyzed, including improper systems and order changes of control objects and controllers. Furthermore, as a discretization method and discrete-time model for the inverse system, the accuracy and effects on the control system of the assignment model that has been taken up as a candidate in previous studies were clarified.

Free Research Field

ディジタル制御理論

Academic Significance and Societal Importance of the Research Achievements

非プロパーな逆システムをディジタル制御系で適切に扱うための定義を定めたことで，非プロパーなシステムを離散時間化の枠組みで議論可能とした．
また，非プロパーな系を含む制御系の次数変化による性質の変化について検討することで，非プロパーな系を制御系に含むシステムを適切に扱うために考慮が必要となる性質に対して理解を深めた．
これにより，非プロパーなシステムを用いたモデルベースでの制御系設計手法開発の基盤確立に貢献した．